Efficiency of decision making units in network DEA using interval data
الموضوعات : International Journal of Data Envelopment AnalysisT Hassani 1 , M Rostamy-Malkhalifeh 2
1 - Department of Mathematics, Science and Research Branch, Islamic Azad
University, Tehran, Iran.
2 - Department of Mathematics, Science and Research Branch, Islamic Azad
University, Tehran, Iran.
الکلمات المفتاحية: Data Envelopment Analysis, Efficiency, Interval data,
ملخص المقالة :
In this paper, the difference between multiplicative and envelopment models of network DEA is examined, in which network DEA multiplicative model is able to calculate efficiency and the envelopment model can calculate the projection on the frontier. Here, a model is presented that can calculate both frontier projection and efficiency in network DEA. Since in real world, many data are interval data, we present a model in this article that calculates the efficiency of the units being evaluated by such these interval data. Since data are as intervals, the resulting efficiencies are calculated as intervals. We present two models for calculating the lower and upper bounds for any DMU and prove that these models give upper and lower bounds of efficiency.
1. Chen Y., Cook W.D., Zhu J., (2010), “Deriving the DEA frontier for two-stage processes”, European Journal of Operational Research 202, 138–142.
2. Chen Y., Liang L., Zhu J., (2009b), “Equivalence in two-stage DEA approaches”, European Journal of Operational Research 193 (2), 600–604.
3. Chen Y., Zhu J., (2004), “Measuring information technology’s indirect impact on firm performance”, Information Technology and Management Journal 5, 9–22
